264888384 has 56 divisors (see below), whose sum is σ = 710488800. Its totient is φ = 87081984.

The previous prime is 264888313. The next prime is 264888391. The reversal of 264888384 is 483888462.

264888384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a cake number, because a cake can be divided into 264888384 parts by 1167 planar cuts.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4567 + ... + 23465.

It is an arithmetic number, because the mean of its divisors is an integer number (12687300).

Almost surely, 2^264888384 is an apocalyptic number.

264888384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264888384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355244400).

264888384 is an abundant number, since it is smaller than the sum of its proper divisors (445600416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

264888384 is a wasteful number, since it uses less digits than its factorization.

264888384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18987 (or 18977 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The square root of 264888384 is about 16275.3919768465. The cubic root of 264888384 is about 642.2256366658.

The spelling of 264888384 in words is "two hundred sixty-four million, eight hundred eighty-eight thousand, three hundred eighty-four".